Details

Time bar (total: 1.6s)

sample15.0ms

Algorithm
intervals
Results
6.0ms312×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (15.0ms)

IterNodesCost
0163
1243
2383
3453
4533
5573
6673
73092
821252
950012

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

2.2b
(fma (/ y z) x x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y z) x x)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(fma (/ y z) x x)

simplify141.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02644
16239
220539
384939
4478539
5500139

prune31.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y z) x x))
2.2b
(fma (/ y z) x x)
2.2b
(fma (/ y z) x x)
2.2b
(fma (/ y z) x x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-prod fma-udef
pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (/ y z) x x))
0.0ms
(fma (/ y z) x x)
0.0ms
(fma (/ y z) x x)
0.0ms
(fma (/ y z) x x)

series205.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(cbrt (fma (/ y z) x x))
25.0ms
(fma (/ y z) x x)
29.0ms
(fma (/ y z) x x)
26.0ms
(fma (/ y z) x x)

simplify118.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0102227
1252205
2978202
34867197
45001197

prune144.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
11.2b
(/ (* x (+ y z)) z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
pow1 associate-*r/ associate-*r*
times-frac associate-*l* associate-/r*
cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ add-log-exp
distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
10.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series63.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* x (+ y z))
34.0ms
(/ (* x (+ y z)) z)

simplify36.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0234220
11134191
25001188

prune96.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

4.8b
(fma (/ x z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ x z) y x)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(fma (/ x z) y x)

simplify77.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02544
15639
216739
357739
4270539
5500139

prune28.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

40.2% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 3.3b

bsearch56.0ms

Steps
ItersRangePoint
9
9.628739033261892e-145
1.605939223373804e-138
1.3615881164524897e-138
9
-1.703279309856661e+96
-2.3407730666556725e+89
-6.534106161268147e+89

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0164
1164

end0.0ms

sample403.0ms

Algorithm
intervals
Results
207.0ms9685×body80valid